Question

The bending mo Determine the maximum compressive and tensile bending stresses in this beam. Cr dimenstions are in mm. ment diagram for a beam is given below along with the beam's cross section. oss section M(N.m) 1.75 x- 6 m x2.65 -2.00 -2.00 Bonus: 15.0 What is shear force at x 5 m? a. b. If you wanted to reconstruct the load on this beam, what kind of load and in which direction would you expect atx 4 m? 5.0 c. What kind of load and in which direction would you expect to see at x = o and x = 6 m? 1150 d. Approximately, what kind of load and in which direction could have caused the parabolic moment curve between x o andx 3 m? 5.0

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Answer 1

neutral aui 81

rdr to idl diltance of meutral axuis 2-7 from batem ( we, have A tAL 12.S mm plovd moment a inertia abeut 2-2 2 122 12 1 2 SXIS 12 1 2

3 F1ND mAXImum ComPRESSIVE AN TENSELE BENDING STRESS for, Bending ement morme 20 ent uill give compreion at op Top and Tensionat BOTTom FIBRE we have Этор". (20-12:S)mm:1.5mm. 121 _ 1.75 X 10"X 7.5 S312 S baHom- MP4 S312.S

4- for bending moment m=-2 This moment and CompRESSION m battom FIGRE mYtop Top- 2と S312.S CoTTum baltom -- S312.S We found2Cpressive Strege 9n and Results out at these, maaimum value is im amauimum value i m (v CompRESSIVE STRES 1) and (111

ealbutuve found manuirmum value ab trnile 6. m4-118 mpa ANSWER of mAXimUm TNSTN STRESS Bonus CSOLUTIoN) ear Force --(Slope of Bendi dlu ie lope nl ANSWER a ⑥ "types-ab-load. at..u 5.4 :- 2 2 Hent bendiry moment iz Prevented to become megativre Here bendim mome be Contelled enct. So Load must be Conentratedl wpwoad

TyPES OF LOnD AT 244CONCENTRATED UPWARD TyPES of LOAD at 0 at co a bendim mment m) u 17s Nwich i pasttive. and est moment Cord be predictels Types of LOAD at 210Contentrated may be oad starrts C For Para balic moment) us umi at 6t 6, Bending moment Costont means dmo Fu-o Causes mo loadirg dlu Ans 2に。 右 BETWEEN uu-d.m, I (minus Fen downward) (a) TYPE n-3 LoA DI Ncn Loading Bending moment m u parabalc means dlegree 2 Joadlimy w has degreeo ormly LOAIN TypEConi font loadlirg e. ni olistibuted DoWNWARD